How to make a value increase slower as it gets higher?

[4667hp (Account Info)]

I think there was a function to do this, but I forgot what it was called.

[jacobdavidaz12_Dev (Joe)]

I think you can just get a variable as a number and keep dividing it by annother number.

Ex:

Local var = 2

var += var / 2

[2112Jay]

local value = 0
local rate = 0.1

while true do
    value = value + rate * (1 - math.exp(-value))
    wait(1)
end

This needs a way to break the loop just an example.
if value >= ? break

better yet:
while value < ? do

[MCvojtik121 (MCvojtik)]

You could use the math.log(value+1) function since as you can see on this image the higher the value (x) is, the slower it raises. We add the 1 so you don’t get negative output with lower inputs.

[4667hp (Account Info)]

What website is that image from?

[meet_theHAXER (HAXXER)]

desmos graph, here is the link: Desmos | Graphing Calculator

[LucaDaBoy]

This is what I use, can definitely recommend.

[Negativize]

Hey OP. I know this has already been solved but the logarithmic solution won’t necessarily ensure that the value never gets larger than a certain value. I’m not sure if you’ve taken calculus, but you will find the limit of the logarithm function is infinity, which means the logarithm never truly stops increasing for a sufficiently large input. You could use math.clamp, but that leaves desire for something better.

If you want the value to increase up to a certain value (and more control over how quickly your value begins to slow down), consider the asymptotic form:
f(x) = ax / (x + n)
where a is the maximum value you desire and n is how slow you want f(x) to scale (a larger n means that f(x) takes longer to approach its horizontal asymptote/maximum value).

Here is what that function looks like for a = 1 and n = 5:

As you can see, f(x) (the purple line) is approaching a value of 1 (the dashed line) but decreasing as it does so. It will never truly become 1 (well, it will because floating point isn’t 100% precise) but it will give you the slow-down you desire.

Just an alternative suggestion, in case you desire slightly different behavior.